Search a number
-
+
12022111211012 = 2272428914301073
BaseRepresentation
bin1010111011110001110110…
…1010110000111000000100
31120120022011121020000002122
42232330131222300320010
53033432240432223022
641322514234025112
72350366060135400
oct256743552607004
946508147200078
1012022111211012
1139156043a9a11
121421b70878198
136928ac5ac1b6
142d7c3242c100
1515cac91ba742
hexaef1dab0e04

12022111211012 has 36 divisors (see below), whose sum is σ = 24479291376540. Its totient is φ = 5151131725824.

The previous prime is 12022111210961. The next prime is 12022111211017. The reversal of 12022111211012 is 21011211122021.

12022111211012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11669151648196 + 352959562816 = 3416014^2 + 594104^2 .

It is not an unprimeable number, because it can be changed into a prime (12022111211017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6309893 + ... + 7991180.

It is an arithmetic number, because the mean of its divisors is an integer number (679980316015).

Almost surely, 212022111211012 is an apocalyptic number.

It is an amenable number.

12022111211012 is an abundant number, since it is smaller than the sum of its proper divisors (12457180165528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12022111211012 is a wasteful number, since it uses less digits than its factorization.

12022111211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14305380 (or 14305371 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12022111211012 its reverse (21011211122021), we get a palindrome (33033322333033).

The spelling of 12022111211012 in words is "twelve trillion, twenty-two billion, one hundred eleven million, two hundred eleven thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 196 4289 8578 17156 30023 60046 120092 210161 420322 840644 14301073 28602146 57204292 100107511 200215022 400430044 700752577 1401505154 2803010308 61337302097 122674604194 245349208388 429361114679 858722229358 1717444458716 3005527802753 6011055605506 12022111211012